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Finding the Fourth Proportional to 5,236.06, 7,232.18 and 3,915.64

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Solution

The fourth proportional to 5,236.06, 7,232.18 and 3,915.64 is: 5,408.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,236.06 : 7,232.18 = 3,915.64 : x
  2. Step 2: Convert to fraction form
    5,236.06/7,232.18 = 3,915.64/x
  3. Step 3: Cross multiply
    5,236.06x = 7,232.18 × 3,915.64
  4. Step 4: Simplify right side
    5,236.06x = 28,318,593.72
  5. Step 5: Solve for x
    x = 28,318,593.72/5,236.06
  6. Step 6: Final answer
    x = 5,408.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.